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202320140000 = 2554118910333
BaseRepresentation
bin1011110001101100111…
…0000101011011100000
3201100020001001000020112
42330123032011123200
511303322423440000
6232540010430452
720421452546366
oct2743316053340
9640201030215
10202320140000
1178892498780
1233264732428
1316103bc6394
149b142b3636
1553e1ec3235
hex2f1b3856e0

202320140000 has 240 divisors, whose sum is σ = 549140906160. Its totient is φ = 72737280000.

The previous prime is 202320139949. The next prime is 202320140017. The reversal of 202320140000 is 41023202.

202320140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19574834 + ... + 19585166.

It is an arithmetic number, because the mean of its divisors is an integer number (2288087109).

Almost surely, 2202320140000 is an apocalyptic number.

202320140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202320140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274570453080).

202320140000 is an abundant number, since it is smaller than the sum of its proper divisors (346820766160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202320140000 is a wasteful number, since it uses less digits than its factorization.

202320140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 202320140000 its reverse (41023202), we get a palindrome (202361163202).

The spelling of 202320140000 in words is "two hundred two billion, three hundred twenty million, one hundred forty thousand".